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Finding the Fourth Proportional to 562.55, 839.57 and 492.08

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Solution

The fourth proportional to 562.55, 839.57 and 492.08 is: 734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.55 : 839.57 = 492.08 : x
  2. Step 2: Convert to fraction form
    562.55/839.57 = 492.08/x
  3. Step 3: Cross multiply
    562.55x = 839.57 × 492.08
  4. Step 4: Simplify right side
    562.55x = 413,128.95
  5. Step 5: Solve for x
    x = 413,128.95/562.55
  6. Step 6: Final answer
    x = 734.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.